#include "cuComplex.h"

__device__ double2 negtwiddles[8192] = {
    {0, 0},
    {0.707106781186547461715008466854, 0.707106781186547572737310929369},
    {0.92387953251128673848313610506, 0.382683432365089781779232680492},
    {-0.382683432365089781779232680492, 0.92387953251128673848313610506},
    {0.980785280403230430579242238309, 0.19509032201612824808378832131},
    {-0.19509032201612824808378832131, 0.980785280403230430579242238309},
    {0.555570233019602177648721408332, 0.831469612302545235671402679145},
    {-0.831469612302545235671402679145, 0.555570233019602177648721408332},
    {0.995184726672196928731750631414, 0.0980171403295606036287779261329},
    {-0.0980171403295606036287779261329, 0.995184726672196928731750631414},
    {0.634393284163645487794269683945, 0.773010453362736993376813643408},
    {-0.773010453362736993376813643408, 0.634393284163645487794269683945},
    {0.881921264348355049556005269551, 0.471396736825997642039709489836},
    {-0.471396736825997642039709489836, 0.881921264348355049556005269551},
    {0.290284677254462331053019852334, 0.956940335732208824381928025105},
    {-0.956940335732208824381928025105, 0.290284677254462331053019852334},
    {0.998795456205172405006464941835, 0.0490676743274180149345653489945},
    {-0.0490676743274180149345653489945, 0.998795456205172405006464941835},
    {0.671558954847018441114414599724, 0.740951125354959105884233849793},
    {-0.740951125354959105884233849793, 0.671558954847018441114414599724},
    {0.903989293123443338195954765979, 0.427555093430282084909777040593},
    {-0.427555093430282084909777040593, 0.903989293123443338195954765979},
    {0.336889853392220051109262612954, 0.941544065183020806308888950298},
    {-0.941544065183020806308888950298, 0.336889853392220051109262612954},
    {0.970031253194543974238683858857, 0.242980179903263870944130076168},
    {-0.242980179903263870944130076168, 0.970031253194543974238683858857},
    {0.514102744193221772306401362584, 0.857728610000272118085717920621},
    {-0.857728610000272118085717920621, 0.514102744193221772306401362584},
    {0.803207531480644942867286317778, 0.595699304492433356905678465409},
    {-0.595699304492433356905678465409, 0.803207531480644942867286317778},
    {0.1467304744553617479319029826, 0.989176509964781014438983675063},
    {-0.989176509964781014438983675063, 0.1467304744553617479319029826},
    {0.999698818696204249967252053466, 0.0245412285229122881236030195851},
    {-0.0245412285229122881236030195851, 0.999698818696204249967252053466},
    {0.689540544737066940506053924764, 0.724247082951467002764900371403},
    {-0.724247082951467002764900371403, 0.689540544737066940506053924764},
    {0.914209755703530690951197357208, 0.405241314004989860997341111215},
    {-0.405241314004989860997341111215, 0.914209755703530690951197357208},
    {0.359895036534988110865640464908, 0.932992798834738845670244700159},
    {-0.932992798834738845670244700159, 0.359895036534988110865640464908},
    {0.975702130038528570032951847679, 0.219101240156869797592875670489},
    {-0.219101240156869797592875670489, 0.975702130038528570032951847679},
    {0.534997619887097153323907150479, 0.844853565249707116890931501985},
    {-0.844853565249707116890931501985, 0.534997619887097153323907150479},
    {0.817584813151583711388070696557, 0.575808191417845338655467912758},
    {-0.575808191417845338655467912758, 0.817584813151583711388070696557},
    {0.170961888760301217171644339032, 0.985277642388941221618381405278},
    {-0.985277642388941221618381405278, 0.170961888760301217171644339032},
    {0.992479534598709967063712156232, 0.122410675199216195663254325154},
    {-0.122410675199216195663254325154, 0.992479534598709967063712156232},
    {0.615231590580626819253495796147, 0.788346427626606338634474013816},
    {-0.788346427626606338634474013816, 0.615231590580626819253495796147},
    {0.870086991108711460540803273034, 0.492898192229784037898809856415},
    {-0.492898192229784037898809856415, 0.870086991108711460540803273034},
    {0.26671275747489836538406393629, 0.963776065795439840222513794288},
    {-0.963776065795439840222513794288, 0.26671275747489836538406393629},
    {0.949528180593036674750351266994, 0.313681740398891462096031546025},
    {-0.313681740398891462096031546025, 0.949528180593036674750351266994},
    {0.449611329654606595163102156221, 0.893224301195515324458540362684},
    {-0.893224301195515324458540362684, 0.449611329654606595163102156221},
    {0.757208846506484567484562830941, 0.653172842953776755514638807654},
    {-0.653172842953776755514638807654, 0.757208846506484567484562830941},
    {0.0735645635996674263079597722026, 0.997290456678690206970827603072},
    {-0.997290456678690206970827603072, 0.0735645635996674263079597722026},
    {0.999924701839144502990563978528, 0.0122715382857199253874291855482},
    {-0.0122715382857199253874291855482, 0.999924701839144502990563978528},
    {0.69837624940897291558883352991, 0.715730825283818705706551099865},
    {-0.715730825283818705706551099865, 0.69837624940897291558883352991},
    {0.919113851690057770404962411703, 0.393992040061048098831264496766},
    {-0.393992040061048098831264496766, 0.919113851690057770404962411703},
    {0.37131719395183754306444257054, 0.928506080473215589243807244202},
    {-0.928506080473215589243807244202, 0.37131719395183754306444257054},
    {0.97831737071962765472932233024, 0.207111376192218532565902933129},
    {-0.207111376192218532565902933129, 0.97831737071962765472932233024},
    {0.545324988422046463831804885558, 0.838224705554838078747081908659},
    {-0.838224705554838078747081908659, 0.545324988422046463831804885558},
    {0.824589302785025290987164225953, 0.56573181078361323148584460796},
    {-0.56573181078361323148584460796, 0.824589302785025290987164225953},
    {0.183039887955140950781540709613, 0.983105487431216285010293631785},
    {-0.983105487431216285010293631785, 0.183039887955140950781540709613},
    {0.993906970002356060511772284372, 0.110222207293883059375794175594},
    {-0.110222207293883059375794175594, 0.993906970002356060511772284372},
    {0.624859488142386343412226779037, 0.780737228572094488221466690447},
    {-0.780737228572094488221466690447, 0.624859488142386343412226779037},
    {0.876070094195406601222941844753, 0.48218377207912271886769417506},
    {-0.48218377207912271886769417506, 0.876070094195406601222941844753},
    {0.278519689385053115238122245501, 0.960430519415565786545130322338},
    {-0.960430519415565786545130322338, 0.278519689385053115238122245501},
    {0.95330604035419386210747916266, 0.302005949319228084171129466995},
    {-0.302005949319228084171129466995, 0.95330604035419386210747916266},
    {0.460538710958240005144403994564, 0.887639620402853934955089698633},
    {-0.887639620402853934955089698633, 0.460538710958240005144403994564},
    {0.7651672656224589585960416116, 0.643831542889791497152884858224},
    {-0.643831542889791497152884858224, 0.7651672656224589585960416116},
    {0.0857973123444398938497457152152, 0.996312612182778001290728298045},
    {-0.996312612182778001290728298045, 0.0857973123444398938497457152152},
    {0.99811811290014917918966830257, 0.0613207363022085782944259335636},
    {-0.0613207363022085782944259335636, 0.99811811290014917918966830257},
    {0.662415777590171783728578702721, 0.749136394523459370198281703779},
    {-0.749136394523459370198281703779, 0.662415777590171783728578702721},
    {0.8986744656939538167250702827, 0.438616238538527603019190337363},
    {-0.438616238538527603019190337363, 0.8986744656939538167250702827},
    {0.325310292162262926218829761638, 0.945607325380521279711842908},
    {-0.945607325380521279711842908, 0.325310292162262926218829761638},
    {0.966976471044852070590991388599, 0.254865659604514571690003776894},
    {-0.254865659604514571690003776894, 0.966976471044852070590991388599},
    {0.503538383725717575423175276228, 0.863972856121586696431791096984},
    {-0.863972856121586696431791096984, 0.503538383725717575423175276228},
    {0.795836904608883566325516767392, 0.605511041404325545123299434636},
    {-0.605511041404325545123299434636, 0.795836904608883566325516767392},
    {0.134580708507126195483394326402, 0.990902635427780009713671915961},
    {-0.990902635427780009713671915961, 0.134580708507126195483394326402},
    {0.987301418157858434732077057561, 0.158858143333861445700705417039},
    {-0.158858143333861445700705417039, 0.987301418157858434732077057561},
    {0.58579785745643886407663103455, 0.810457198252594768206336084404},
    {-0.810457198252594768206336084404, 0.58579785745643886407663103455},
    {0.851355193105265195541164757742, 0.524589682678468949283967504016},
    {-0.524589682678468949283967504016, 0.851355193105265195541164757742},
    {0.231058108280671109513448868711, 0.972939952205560176778931236186},
    {-0.972939952205560176778931236186, 0.231058108280671109513448868711},
    {0.937339011912574959772825877735, 0.348418680249434564721866536274},
    {-0.348418680249434564721866536274, 0.937339011912574959772825877735},
    {0.416429560097637152527028092663, 0.909167983090522380251741196844},
    {-0.909167983090522380251741196844, 0.416429560097637152527028092663},
    {0.732654271672412815696873167326, 0.680600997795453022121137109934},
    {-0.680600997795453022121137109934, 0.732654271672412815696873167326},
    {0.0368072229413588317137318028927, 0.999322384588349543754759451986},
    {-0.999322384588349543754759451986, 0.0368072229413588317137318028927},
    {0.999981175282601109088886914833, 0.0061358846491544752690949771079},
    {-0.0061358846491544752690949771079, 0.999981175282601109088886914833},
    {0.702754744457225299925084982533, 0.711432195745216433557800428389},
    {-0.711432195745216433557800428389, 0.702754744457225299925084982533},
    {0.921514039342041901825552940863, 0.388345046698826301678764139069},
    {-0.388345046698826301678764139069, 0.921514039342041901825552940863},
    {0.377007410216418259452098027396, 0.926210242138311379278547974536},
    {-0.926210242138311379278547974536, 0.377007410216418259452098027396},
    {0.979569765685440518865334524889, 0.201104634842091900548410876581},
    {-0.201104634842091900548410876581, 0.979569765685440518865334524889},
    {0.550457972936604811309280194109, 0.834862874986380010255970773869},
    {-0.834862874986380010255970773869, 0.550457972936604811309280194109},
    {0.828045045257755796264120817796, 0.560661576197336031235352038493},
    {-0.560661576197336031235352038493, 0.828045045257755796264120817796},
    {0.18906866414980622037589341744, 0.981963869109555242964404442318},
    {-0.981963869109555242964404442318, 0.18906866414980622037589341744},
    {0.994564570734255415374036601861, 0.104121633872054572544918471522},
    {-0.104121633872054572544918471522, 0.994564570734255415374036601861},
    {0.629638238914926984257647291088, 0.776888465673232442298967725947},
    {-0.776888465673232442298967725947, 0.629638238914926984257647291088},
    {0.879012226428633525188161002006, 0.476799230063322143635673455719},
    {-0.476799230063322143635673455719, 0.879012226428633525188161002006},
    {0.284407537211271821409042104278, 0.958703474895871599059660184139},
    {-0.958703474895871599059660184139, 0.284407537211271821409042104278},
    {0.955141168305770671409504757321, 0.296150888243623788831371257402},
    {-0.296150888243623788831371257402, 0.955141168305770671409504757321},
    {0.465976495767966181205110842711, 0.884797098430937789537154003483},
    {-0.884797098430937789537154003483, 0.465976495767966181205110842711},
    {0.769103337645579698822473346809, 0.639124444863775731384691880521},
    {-0.639124444863775731384691880521, 0.769103337645579698822473346809},
    {0.0919089564971327238618314936502, 0.995767414467659817134403965611},
    {-0.995767414467659817134403965611, 0.0919089564971327238618314936502},
    {0.998475580573294774211490221205, 0.0551952443496899411434775117868},
    {-0.0551952443496899411434775117868, 0.998475580573294774211490221205},
    {0.666999922303637471365789224365, 0.745057785441465947329220398387},
    {-0.745057785441465947329220398387, 0.666999922303637471365789224365},
    {0.901348847046022028095535461034, 0.433093818853151957259939308642},
    {-0.433093818853151957259939308642, 0.901348847046022028095535461034},
    {0.331106305759876373695504980788, 0.943593458161960385588429289783},
    {-0.943593458161960385588429289783, 0.331106305759876373695504980788},
    {0.968522094274417266746013410739, 0.248927605745720148533450810646},
    {-0.248927605745720148533450810646, 0.968522094274417266746013410739},
    {0.508830142543106989094781056338, 0.860866938637767309394632775366},
    {-0.860866938637767309394632775366, 0.508830142543106989094781056338},
    {0.799537269107905013143522410246, 0.600616479383868862029771662492},
    {-0.600616479383868862029771662492, 0.799537269107905013143522410246},
    {0.14065823933284923863418214296, 0.990058210262297122561392370699},
    {-0.990058210262297122561392370699, 0.14065823933284923863418214296},
    {0.988257567730749464374184753979, 0.152797185258443435351694006386},
    {-0.152797185258443435351694006386, 0.988257567730749464374184753979},
    {0.590759701858874164415169616404, 0.806847553543799334008213008929},
    {-0.806847553543799334008213008929, 0.590759701858874164415169616404},
    {0.854557988365400533758986512112, 0.519355990165589531670775613748},
    {-0.519355990165589531670775613748, 0.854557988365400533758986512112},
    {0.237023605994367198013250686017, 0.971503890986251783523641734064},
    {-0.971503890986251783523641734064, 0.237023605994367198013250686017},
    {0.93945922360218991897795604018, 0.342660717311994378331263533255},
    {-0.342660717311994378331263533255, 0.93945922360218991897795604018},
    {0.422000270799799681586961241919, 0.906595704514915334826241632982},
    {-0.906595704514915334826241632982, 0.422000270799799681586961241919},
    {0.736816568877369904022600621829, 0.676092703575315923103516979609},
    {-0.676092703575315923103516979609, 0.736816568877369904022600621829},
    {0.0429382569349408202419304814157, 0.999077727752645361469774343277},
    {-0.999077727752645361469774343277, 0.0429382569349408202419304814157},
    {0.999529417501093142561785498401, 0.0306748031766366259509570824093},
    {-0.0306748031766366259509570824093, 0.999529417501093142561785498401},
    {0.685083667772700355413917350234, 0.728464390448225196372789014276},
    {-0.728464390448225196372789014276, 0.685083667772700355413917350234},
    {0.91170603200542987831767050011, 0.410843171057903910892150634027},
    {-0.410843171057903910892150634027, 0.91170603200542987831767050011},
    {0.354163525420490343798007870646, 0.935183509938947610251602782228},
    {-0.935183509938947610251602782228, 0.354163525420490343798007870646},
    {0.974339382785575858214599520579, 0.225083911359792832040938037608},
    {-0.225083911359792832040938037608, 0.974339382785575858214599520579},
    {0.529803624686294716283896377718, 0.848120344803297232516570147709},
    {-0.848120344803297232516570147709, 0.529803624686294716283896377718},
    {0.81403632970594841378186856673, 0.580813958095764526490256685065},
    {-0.580813958095764526490256685065, 0.81403632970594841378186856673},
    {0.164913120489969922122241996476, 0.986308097244598669384174627339},
    {-0.986308097244598669384174627339, 0.164913120489969922122241996476},
    {0.991709753669099525197339062288, 0.128498110793793168804555193674},
    {-0.128498110793793168804555193674, 0.991709753669099525197339062288},
    {0.61038280627630947527961779997, 0.792106577300212388870193080948},
    {-0.792106577300212388870193080948, 0.61038280627630947527961779997},
    {0.867046245515692648453409674403, 0.498227666972781868537367699901},
    {-0.498227666972781868537367699901, 0.867046245515692648453409674403},
    {0.26079411791527551400804441073, 0.965394441697689398296233775909},
    {-0.965394441697689398296233775909, 0.26079411791527551400804441073},
    {0.947585591017741091235393469105, 0.319502030816015691883080762636},
    {-0.319502030816015691883080762636, 0.947585591017741091235393469105},
    {0.444122144570429200349792608904, 0.895966249756185106889461167157},
    {-0.895966249756185106889461167157, 0.444122144570429200349792608904},
    {0.753186799043612520421220324351, 0.657806693297078637350239205261},
    {-0.657806693297078637350239205261, 0.753186799043612520421220324351},
    {0.0674439195636640509423642697584, 0.997723066644191636243022003327},
    {-0.997723066644191636243022003327, 0.0674439195636640509423642697584},
    {0.996820299291165667909808689728, 0.0796824379714301117560992793187},
    {-0.0796824379714301117560992793187, 0.996820299291165667909808689728},
    {0.648514401022112441097533519496, 0.761202385484261889736501416337},
    {-0.761202385484261889736501416337, 0.648514401022112441097533519496},
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